Multi-Step Equations with Variables on Both Sides Guided Notes

What is the first step when solving multi-step equations with variables on both sides?

• Move variables to the same side.

• Simplify both expressions on each side of the equal sign.

• Add or subtract to remove the constant.

• Multiply or divide to remove the coefficient.

Which phrase helps remember the steps for solving multi-step equations?

• "Don't Call Me After Midnight"

• "Please Excuse My Dear Aunt Sally"

• "Every Good Boy Does Fine"

• "Never Eat Soggy Waffles"

After simplifying the left side of the equation 11x + 2 - 2x = 16 + 2x, what does the left side become?

• 13x + 2

• 9x + 2

• 11x

• 16 + 2x

In the equation 9x + 2 = 16 + 2x, what is the next logical step to move variables to one side?

• Add 9x to both sides.

• Subtract 16 from both sides.

• Subtract 2x from both sides.

• Add 2 to both sides.

After simplifying both sides of the equation 37 + 12x + 5 = -20 - 8.5x - 20, what is the resulting simplified equation?

• 42 + 12x = -40 - 8.5x

• 37 + 12x = -40 - 8.5x

• 42 + 12x = -20 - 8.5x

• 42 + 12x = -40 + 8.5x

What is the value of X in the equation 6 + 5/3X = 21?

• 3

• 5

• 9

• 15

After distributing and combining like terms, what is the simplified form of the equation 5(x + 3) + 3 = 3(x - 2)?

• 5x + 15 = 3x - 6

• 5x + 18 = 3x - 6

• 5x + 3 = 3x - 6

• 5x + 18 = 3x + 6

What is the value of X in the equation 5(x + 3) + 3 = 3(x - 2)?

• -6

• -12

• 6

• 12

What is the simplified form of the equation 1.2(x - 2) = 2(1 - 0.5x) after distributing on both sides?

• 1.2x - 2.4 = 2 - 0.5x

• 1.2x - 2.4 = 2 - x

• 1.2x - 2 = 2 - x

• 1.2x - 2.4 = 2 + x

What is the value of X in the equation 1.2(x - 2) = 2(1 - 0.5x)?

• 1

• 2

• 3

• 4